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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Madras (IITM)

The Syllabus

  • Quantum Mechanics and the Symmetry of the hydrogen atom. 
  • Complete set of observables for the non-relativistic
  • Hydrogen atom - radial and angular wavefunctions
  • Complete set of 'good quantum numbers', associated constants of motion and associated symmetries
  • The Laplace-Runge-Lenz vector and the Fock SO(4) symmetry of the Hydrogen atom.

  • Coupling ofAngular Momenta, Clebsch-Gordan Coefficients,
  • Statement and Proof the Wigner-Eckart.

  • Relativistic Hydrogen Atom. 
  • Foldy-Wouthuysen
  • Transformation of Dirac Hamiltonian

  • Identical Particles
  • Exchange interaction and N-electron systems. 
  • The Hartree-Fock Self-Consistent Field Formalism.
  • Koopmans Theorem.

  • Perturbative analysis of relativistic interactions in atoms.

  • Probing the atom–quantum collisions and photoabsorption processes.

  • Photoionization cross-section and angular distribution of the photoelectrons.

  • Effects of applied electromagnetic fields.
  • Stark effect.
  • Zeeman effect (normal and anomalous) in atomic spectroscopy, Paschen-Back effect. 
  • Hyperfine structure.
  • Introduction to laser cooling of atoms and Bose-Einstein condensation.

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